Other Wave Variables

Velocity Waves:

$$\begin{eqnarray*} v^{+}(n) &\mathrel{\stackrel{\Delta}{=}}& \dot y^{+}(n)\\ v^{-}(n) &\mathrel{\stackrel{\Delta}{=}}& \dot y^{-}(n) \end{eqnarray*}$$

Wave Impedance (we'll derive later):

$$\zbox{R = \sqrt{K\epsilon } = \frac{K}{c} = \epsilon c}$$

Force Waves:

$$\begin{eqnarray*} f^{{+}}(n) &\mathrel{\stackrel{\Delta}{=}}& R\,v^{+}(n)\\ f^{{-}}(n) &\mathrel{\stackrel{\Delta}{=}}& -R\,v^{-}(n) \end{eqnarray*}$$

Ohm's Law for Traveling Waves: